Osserman manifolds in semi-Riemannian geometry / Eduardo García-Río, Demir N. Kupeli, Ramón Vázquez-Lorenzo.
| Author/creator | García-Río, Eduardo author. |
| Other author | Kupeli, Demir N., author. |
| Other author | Vázquez-Lorenzo, Ramón, author. |
| Format | Book |
| Publication | Berlin ; New York : Springer, 2002. |
| Copyright Date | ©2002 |
| Description | xii, 166 pages ; 24 cm. |
| Supplemental Content | Table of contents |
| Supplemental Content | Table of contents only |
| Supplemental Content | Publisher description |
| Supplemental Content | Cover |
| Supplemental Content | Kapitel 1 |
| Supplemental Content | http://digitool.hbz-nrw.de:1801/webclient/DeliveryManager?application=DIGITOOL-3&owner=resourcediscovery&custom_att_2=simple_viewer&user=GUEST&pid=1474573 |
| Subjects |
| Series | Lecture notes in mathematics, 0075-8434 ; 1777 Lecture notes in mathematics (Springer-Verlag) ; 1777. ^A496146 |
| Contents | The Osserman Conditions in Semi-Riemannian Geometry -- The Osserman Conjecture in Riemannian Geometry -- Lorentzian Osserman Manifolds -- Four-Dimensional Semi-Riemannian Osserman Manifolds with Metric Tensors of Signature (2,2) -- Semi-Riemannian Osserman Manifolds -- Generalizations and Osserman-Related Conditions. |
| Abstract | The subject of this book is Osserman semi-Riemannian manifolds, and in particular, the Osserman conjecture in semi-Riemannian geometry. The treatment is pitched at the intermediate graduate level and requires some intermediate knowledge of differential geometry. The notation is mostly coordinate-free and the terminology is that of modern differential geometry. Known results toward the complete proof of Riemannian Osserman conjecture are given and the Osserman conjecture in Lorentzian geometry is proved completely. Counterexamples to the Osserman conjuncture in generic semi-Riemannian signature are provided and properties of semi-Riemannian Osserman manifolds are investigated. |
| Local note | Joyner-FOR JOYNER LIBRARY HOLDINGS OF THE SERIES, LECTURE NOTES IN MATHEMATICS (SPRINGER-VERLAG),SEARCH BY CALL NUMBER QA3.L28. |
| Local note | Joyner-FOR JOYNER LIBRARY HOLDINGS OF THE SERIES, LECTURE NOTES IN MATHEMATICS (SPRINGER-VERLAG),SEARCH BY CALL NUMBER QA3.L28. |
| Bibliography note | Includes bibliographical references (pages 157-163) and index. |
| Other forms | Also available in electronic format. |
| Issued in other form | Online version: García-Río, Eduardo. Osserman manifolds in semi-Riemannian geometry. Berlin ; New York : Springer, ©2002 9783540456292 |
| LCCN | 2002510333 |
| ISBN | 3540431446 pbk. acid-free paper |
| ISBN | 9783540431442 pbk. acid-free paper |
| ISBN | electronic bk. |
| ISBN | electronic bk. |
| Standard identifier# | 9783540431442 |